98327 (number)
98,327 (ninetyeight thousand three hundred twentyseven) is an odd fivedigits prime number following 98326 and preceding 98328. In scientific notation, it is written as 9.8327 × 10^{4}. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 98,326 positive integers (up to 98327) that are relatively prime to 98327.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 29
 Digital Root 2
Name
Short name  98 thousand 327 

Full name  ninetyeight thousand three hundred twentyseven 
Notation
Scientific notation  9.8327 × 10^{4} 

Engineering notation  98.327 × 10^{3} 
Prime Factorization of 98327
Prime Factorization 98327
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  98327  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.4960539378  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 98,327 is 98327. Since it has a total of 1 prime factor, 98,327 is a prime number.
Divisors of 98327
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  98328  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  49164  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  313.57136348844  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999796599138  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 98,327 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 98,327) is 98,328, the average is 49,164.
Other Arithmetic Functions (n = 98327)
φ(n)  Euler Totient  98326  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  98326  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9437  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 98,326 positive integers (less than 98,327) that are coprime with 98,327. And there are approximately 9,437 prime numbers less than or equal to 98,327.
Divisibility of 98327
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  2  5  5  7  2 
98,327 is not divisible by any number less than or equal to 9.
Classification of 98327
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (98327)
Base  System  Value 

2  Binary  11000000000010111 
3  Ternary  11222212202 
4  Quaternary  120000113 
5  Quinary  11121302 
6  Senary  2035115 
8  Octal  300027 
10  Decimal  98327 
12  Duodecimal  48a9b 
16  Hexadecimal  18017 
20  Vigesimal  c5g7 
36  Base36  23vb 
Basic calculations (n = 98327)
Multiplication
n×yn×2  196654 

n×3  294981 
n×4  393308 
n×5  491635 
Division
n÷yn÷2  49163.500 

n÷3  32775.666 
n÷4  24581.750 
n÷5  19665.400 
Exponentiation
n^{y}n^{2}  9668198929 

n^{3}  950644996091783 
n^{4}  93474070530716747041 
n^{5}  9191024933073785586300407 
Nth Root
^{y}√n^{2}√n  313.57136348844 

^{3}√n  46.155585333323 
^{4}√n  17.707946337406 
^{5}√n  9.9663138113666 
98327 as geometric shapes
Circle
Radius = nDiameter  196654 

Circumference  617806.76169905 
Area  30373542728.791 
Sphere
Radius = nVolume  3.9820524478585E+15 

Surface area  121494170915.16 
Circumference  617806.76169905 
Square
Length = nPerimeter  393308 

Area  9668198929 
Diagonal  139055.37694746 
Cube
Length = nSurface area  58009193574 

Volume  950644996091783 
Space diagonal  170307.35975582 
Equilateral Triangle
Length = nPerimeter  294981 

Area  4186452940.6778 
Altitude  85153.679877912 
Triangular Pyramid
Length = nSurface area  16745811762.711 

Volume  1.1203458720626E+14 
Height  80283.659312881 
Cryptographic Hash Functions
md5  ba8d9dd35268014c09031a8c587cf84e 

sha1  9dcaf56bd90a2a8f2324555de698552dead100ce 
sha256  6167b7ea34b192f3d722dc684dcf3c4d59d86a09fd08a047fe1c2c612b7a8a76 
sha512  49ac549092e84f24cbbbeaa4e09336b7f919e0e7c3553ac3888925ed14a609577fce7d3684ee21f7f3374295bfc7ebfaa5aaa72073a32caa767942ad9fe9ff8b 
ripemd160  bdffb213caf969394faae70a0f633d969ed316d0 